Theorems Involving Points, Lines and Planes

[onesun0000]

Hi.
I have this homework and I have no idea if my answers are right. Please help.



Here are my answers:
Here are mt answers:

1. True because ABD determines plane K and D is on that plane.
2. False. cannot be determined
3. False. G is not on plane K
4. False. cannot be determined
5. False. not on the same plane
6. True
7. False. not on the same plane.
8. False

Your help is very much appreciated.

 

[pka]

Hi.
I have this homework and I have no idea if my answers are right. Please help.

View attachment 12568

Here are my answers:
Here are mt answers:

1. True because ABD determines plane K and D is on that plane.
2. False. cannot be determined
3. False. G is not on plane K
4. False. cannot be determined
5. False. not on the same plane
6. True
7. False. not on the same plane.
8. False

Your help is very much appreciated.

Your numbering is all off. Please correct and repost.

 

[onesun0000]

Hi.
I have this homework and I have no idea if my answers are right. Please help.

View attachment 12568

Here are my answers:
Here are mt answers:

1. True because ABD determines plane K and D is on that plane.
2. False. cannot be determined
3. False. G is not on plane K
4. False. cannot be determined
5. False. not on the same plane
6. True
7. False. not on the same plane.
8. False

Your help is very much appreciated.

oh sorry. Here:
5. True because ABD determines plane K and D is on that plane.
6. False. cannot be determined
7. False. G is not on plane K
8. alse. cannot be determined
9. False. not on the same plane
10. rue
11 .False. not on the same plane.
12. False

 

[pka]

oh sorry. Here:
5. True because ABD determines plane K and D is on that plane.
6. False. cannot be determined
7. False. G is not on plane K
8. alse. cannot be determined
9. False. not on the same plane
10. rue
11 .False. not on the same plane.
12. False

@onesun0000, looking over you work(your answers) one who has taught axiomatic geometry many times will conclude that you simply don't know the definitions.
# 8 the points \(\displaystyle G~\&~F\) are both in plane \(\displaystyle \mathcal{H}\) so \(\displaystyle \overleftrightarrow {FG}\subseteq \mathcal{H}\)
#9 You definitely should that any pair if intersecting lines form two pair of vertical angles.


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[onesun0000]

@pka my answers in numbers 5-7 are right? and my reasons? for 8# i understand it now. for #9, should it true because they're still vertical?